US8059026B1 - Interference avoiding transform domain radar - Google Patents
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- US8059026B1 US8059026B1 US11/365,247 US36524706A US8059026B1 US 8059026 B1 US8059026 B1 US 8059026B1 US 36524706 A US36524706 A US 36524706A US 8059026 B1 US8059026 B1 US 8059026B1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/021—Auxiliary means for detecting or identifying radar signals or the like, e.g. radar jamming signals
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S13/00—Systems using the reflection or reradiation of radio waves, e.g. radar systems; Analogous systems using reflection or reradiation of waves whose nature or wavelength is irrelevant or unspecified
- G01S13/02—Systems using reflection of radio waves, e.g. primary radar systems; Analogous systems
- G01S13/0209—Systems with very large relative bandwidth, i.e. larger than 10 %, e.g. baseband, pulse, carrier-free, ultrawideband
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/023—Interference mitigation, e.g. reducing or avoiding non-intentional interference with other HF-transmitters, base station transmitters for mobile communication or other radar systems, e.g. using electro-magnetic interference [EMI] reduction techniques
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/023—Interference mitigation, e.g. reducing or avoiding non-intentional interference with other HF-transmitters, base station transmitters for mobile communication or other radar systems, e.g. using electro-magnetic interference [EMI] reduction techniques
- G01S7/0232—Avoidance by frequency multiplex
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/28—Details of pulse systems
- G01S7/282—Transmitters
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/36—Means for anti-jamming, e.g. ECCM, i.e. electronic counter-counter measures
Definitions
- the transform domain communication system is known to generate a transmitter output signal inclusive of component frequencies previously determined to be free of interfering signals i.e., to fabricate a communicated pulse waveform using exclusively unoccupied component frequencies, or frequencies occupied only by low level weak signals.
- This selection of preferred component signals for an output signal is of course achieved through a preliminary examination of the band of operation used by the communication system followed by selection of the generated and communicated pulse signal components to lie within the unused band portions encountered during this examination.
- a communication system operating in this manner is disclosed for example in U.S. Pat. No. 5,029,184 issued to Carl F. Andren et al.
- the present invention provides a significantly improved ultra-wideband pulse Doppler radar.
- FIG. 1 shows a signal flow diagram for a radar apparatus according to the present invention.
- FIG. 2 shows a representative interfering signal environment for a radar apparatus according to the present invention.
- FIG. 3 shows a radar signal spectrum based on the FIG. 2 signal environment.
- FIG. 4 shows representative pseudo noise pulse sequences usable for radar bandwidth enhancement purposes.
- FIG. 5 shows representative transform domain communication system sequences usable for radar bandwidth enhancement in the present invention.
- FIG. 6 shows a comparison of pseudo-noise and transform domain communication system ambiguity surface diagrams relevant to the present invention.
- FIG. 7 shows a comparison of pseudo-noise and transform domain ambiguity time plots relevant to the present invention.
- FIG. 8 shows a comparison, of pseudo-noise and transform domain ambiguity time plots focused around a delay of one pulse repetition interval and relating to the present invention.
- FIG. 9 shows a comparison of first pulse synchronized pseudo-noise and transform domain frequency cut plots relevant to the present invention.
- FIG. 10 shows a comparison of second pulse synchronized pseudo-noise and transform domain frequency cut plots relevant to the present invention.
- TDCS Transform Domain Communication System
- the achieved multiple radar pulses output of such a transmitter can be made mutually orthogonal or uniquely identifiable in nature.
- Such orthogonality can be exploited to effectively increase the maximum unambiguous range for a pulse-Doppler radar up to the range of the horizon for example.
- such a transform domain communication system waveform radar may therefore possess a desirable combination of high pulse repetition frequency (PRF) for more accurate velocity estimation and larger unambiguous range for greater distant target identification.
- PRF pulse repetition frequency
- the present invention also provides this improvement to the radar art.
- One method of increasing radar bandwidth that does not however reduce pulse width is to multiply the generated radar pulse by a spreading code. This has the effect of increasing bandwidth without the problems associated with reducing the pulse width.
- radars use Barker Codes for the purpose of increasing the bandwidth while keeping the pulse width constant.
- Barker Codes only have a maximum length of 13.
- the length of the pulse compression code used is often referred to as the Pulse Compression Ratio (PCR) which is also the amount of bandwidth improvement.
- PCR Pulse Compression Ratio
- Using a Barker Code is desirable because of its desirable auto-correlation properties, 14 but with a maximum pulse compression ratio of only 13, bandwidth may not be increased enough for a desirable High Range Resolution (HRR) radar.
- Another common method used to increase this bandwidth is through use of pseudo-noise PN) sequence codes, codes which can be of any length 2n ⁇ 1 where n is a positive integer. 15
- PN pseudo-noise PN sequence codes
- the Pulse Repetition Frequency determines the maximum unambiguous range and the maximum Doppler unambiguous value of the radar.
- the Doppler frequency value is also used to estimate potential target velocities. For example, low pulse repetition frequency radars have a very large unambiguous range but a very low unambiguous Doppler frequency value. This means low pulse repetition frequency radars can very accurately estimate potential target ranges but not their velocities. Conversely, high pulse repetition frequency radars have a small unambiguous range but a very high Doppler unambiguous frequency value. High pulse repetition frequency radars commonly are used to estimate target velocities accurately.
- the maximum unambiguous Doppler frequency value is equal to the pulse repetition frequency. 17 Doppler frequencies greater than the pulse repetition frequency alias in a similar way that sampled frequencies alias according to the Nyquist Theorem.
- the Nyquist Theorem states that the maximum unambiguous frequency that can be measured is less than or equal to half the sample rate.
- the maximum velocity estimate can be obtained by substituting f r for f d in equation 1 and solving for v r as shown in equation 2, where f r is the PRF.
- transform domain communication system One purpose of a transform domain communication system is to communicate in a radio frequency (RF) environment containing extensive interference. Normally, communication systems attempt to mitigate interference effects by employing sophisticated filtering techniques in the time and/or frequency domains.
- a transform domain communication system effectively samples the RF environment and generates “smart” waveforms at the transmitter; “smart” here simply implies the transmitted waveforms contain no (or minimal) energy in spectral areas containing interference. 18
- Such waveforms may have essentially any pulse repetition frequency and pulse configuration desired notwithstanding the unavailability of component signals at some occupied frequencies because “smart” waveforms do not reside in occupied frequencies. For present invention purposes we assume there is no interference present on the selected component frequencies, later improvements to the present invention may disclose interference considerations. In the present invention moreover transform domain communication system waveforms may be appreciated to add bandwidth improvements to the radar apparatus disclosed.
- a transform domain communication system waveform is essentially a sum of sinusoidal components.
- the frequency of each sinusoidal component is an integer multiple of the inverse of the achieved pulse width.
- a spreading phase component is generated for each sinusoid using a pseudo-noise sequence where for example, one of four possible phase displacements can be generated, displacements of 0, ⁇ /2, ⁇ , or 3 ⁇ /2 radians. Having four different possible spreading phases for each of the sinusoids improves the autocorrelation properties of the resultant waveforms.
- the achieved displaced waveform is then sampled at an integer multiple of the inverse of the pulse width and a rate which is more than twice the highest frequency of the sinusoids sample. Equation (5) below shows a mathematical representation for one pulse in an output sequence for a present invention radar, equation (6) below shows a second and final pulse in a presently considered two pulse sequence.
- a second pulse code can be defined which is orthogonal to and easily distinguished from the first code when they are synchronized.
- This code is shown in equation (6).
- This code has an additional phase parameter ⁇ p, which generates the desired orthogonality.
- the spreading phase, ⁇ p was generated using a pseudo-noise sequence where it can take on the phase value of either ⁇ /2 or ⁇ /2.
- pulses s 1 and s 2 would be orthogonal when synchronized by assigning each spreading phase a simple value of ⁇ /2, assigning the positive and negative angle spreading phase values of ⁇ /2 and ⁇ /2 through the pseudo-noise sequence improves the cross correlation properties of the pulses.
- a conventional transform domain communication system signal when used for its intended purpose, is often provided with a coded information component used in the signal receiver circuit to identify an appropriate signal decoding algorithm for use in receiving the signal.
- the absence of need for this decoding algorithm identification component in the present radar application of this type of signal is a notable simplification of the present invention signals over their communication signal counterparts.
- the radar signal instance it is of course possible to communicate the transmitted radar signal and its characteristics directly to the receiver of the radar system since transmitter and receiver may be co-located in a radar system.
- FIG. 1 in the drawings shows a block diagram for a transform domain communication system waveform Ultra-Wideband Radar according to these discussed concepts.
- the first step at 102 involves sampling the electromagnetic environment found by the receiving antenna 100 .
- This sampling defines a spectral magnitude estimate based on an auto-regressive filter or a periodogram representation of the possible radar environment.
- FIG. 2 in the drawings shows an example of such a periodogram involving two interference signal transmitters of different frequency output (Note this figure shows a two-sided spectrum).
- a decision threshold is generated in the step 104 in the FIG. 1 drawing; this threshold is based on the noise floor of the sampled radio frequency environment. Spectral components of signals that cross this threshold are “notched” out of the spectrum of the fabricated radar waveform.
- the drawing of FIG. 3 shows the spectrum of the desired radar waveform based on the sample environment experienced in FIG. 2 .
- the next step in the FIG. 1 process is to scale the spectral components of the desired radar waveform so that no matter how many spectral components are remaining after the threshold process, the radar waveform has a fixed amount of energy.
- This scaling is represented by the block 106 in the FIG. 1 drawing.
- the more spectral components removed from the radar waveform in the scaling step the greater the energy level or the power assigned to the remaining spectral components.
- the next step in the process is to encode the spectral components of the radar waveform with a set of phases; this step is represented at 108 in the FIG. 1 diagram.
- This encoding involves the phase concepts described above herein.
- This phase encoding of the spectral components serves two purposes. It reduces the peak power of the radar waveform over its pulse width because the Waveforms add deconstructively.
- the phase encoding also provides security by making the encoded radar waveform appear noise-like to an enemy observer.
- phase encoded radar pulses are subjected to an inverse Fourier transformation processing, this processing takes the signal back into the time domain allowing the radar to transmit the waveform in real time.
- the radar processed pulses from the block 114 step in FIG. 1 are used to control the transmitter and receiver of the radar apparatus as is represented at 116 in the FIG. 1 drawing. Illumination of and collection of reflected pulses from radar targets located remotely from the FIG. 1 apparatus occurs by way of the radar antenna shown at 118 in the FIG. 1 drawing.
- a simulation process may be used. This simulation can be based on an actual 50 microsecond pulse width X-band system having an operating frequency of 9 GHz. and located in an aircraft of 5 kilometer altitude with a range to the horizon of 300% kilometers; a system of this nature is described in reference 14 identified in the appendix of this document.
- For the pseudo-noise sequence modeled two different maximal length sequences of 31 length may be generated. These codes are used to increase the bandwidth of the radar pulse.
- FIG. 4 in the drawings shows the two pseudo-noise sequences used in graphical form.
- the FIG. 4 transform domain communication system codes can be generated from equation 5 and 6 above herein.
- a maximal sequence of 31 length may be used to generate 15 sets of two bits. Each set of two bits can be used to generate one of the four possible phases for ⁇ p . Another maximal length sequence may be used to generate 15 bits. Each bit can generate one of two possible phases for ⁇ p.
- the two codes thusly generated are shown in the drawing of FIG. 5 herein.
- transform domain communication system waveform As an ultra-wideband radar waveform. More precisely, the transform domain communication system waveform increases the maximum unambiguous range while keeping good velocity estimation due to the orthogonality of pulses realized. As an added bonus, it also increases the system bandwidth to enable better range resolution. The following example demonstrates the improvements obtained by using the transform domain communication system waveform.
- An uncoded radar with a pulse repetition frequency of 2 kHz operating under the conditions specified in the above topic “Simulation Parameters” has an unambiguous range of 75 kilometers, a maximum unambiguous velocity estimate of 33.33 meters/second, and a bandwidth of 20 kilohertz.
- the range to the horizon is 300 kilometers so that there are three range ambiguous returns for each unambiguous range.
- the radar pulse repetition frequency might be decreased to 0.5 kilohertz but the maximum velocity estimate decreases to 8.33 meters/second in such instance.
- transform domain communication system waveform system operating under these conditions has an unambiguous range of 150 kilometers and this is achieved by using two orthogonal transmitter pulses and two matched receiver filters. Additionally, the effective bandwidth is nevertheless improved by a factor of the pulse compression ratio times the original bandwidth where the pulse compression ratio is 31 for this example. To see out to the horizon with this system, the pulse repetition frequency would have to be reduced to one kilohertz which would decrease the maximum velocity estimate to 16.66 meters/second.
- Ambiguity analysis further shows the advantages of a transform domain communication system waveform radar over a pseudo-noise pulse sequence radar.
- Such an ambiguity analysis may follow the development disclosed in reference 19 herein.
- Such an ambiguity analysis focuses on the Doppler and time cuts of the complex ambiguity function.
- Table 1 included above herein compares the results for an uncoded radar, a pseudo-noise pulse compression radar, and a transform domain communication system pulse compression radar. This table illustrates the advantages offered by a transform domain communication system waveform that traditional pulse compression codes cannot match.
- FIG. 6 herein shows an ambiguity surface diagram comparison for the pseudo-noise and transform domain communication system codes.
- FIG. 7 in the drawings shows a comparison between the ambiguity diagram of pseudo-noise codes and transform domain communication system codes when there is no Doppler shift involved; this is illustrated by the lower sidebands appearing around the central point of correlation and demonstrates that the transform domain communication system code has better autocorrelation features than the PN sequence code.
- the amplitude of the ambiguity diagram between the symbols with the different codes is however similar in FIG. 7 .
- FIG. 8 in the drawings shows that the ambiguity function diagram is near 0 when the two orthogonal transform domain communication system codes are synchronized versus a value of 0.25 to 0.3 for the PN codes.
- FIG. 9 shows for synchronized pulses that the main lobes in Doppler for the pseudo-noise codes and transform domain communication system codes are similar, however, the pseudo-noise codes have better sidelobe performance.
- FIG. 10 shows the effect of Doppler when the radars are synchronized on the second pulse. Because of the orthogonality between present invention pulses, the transform domain communication system coding shows a dip in the ambiguity function which reduces all the way to zero when there is no Doppler shift present. This orthogonality shows the ability of transform domain communication system codes to increase the unambiguous range while keeping the pulse repetition frequency high. By keeping the pulse repetition frequency high, transform domain communication system radar coding can achieve simultaneous velocity and range estimation that traditional pulse compression radar techniques cannot. For the pseudo-noise sequences the ambiguity function has significant amplitude when the different pulses are synchronized and the Doppler shift is around zero.
- transform domain communication system coding in an ultra wideband radar offers significant system improvements. Specifically, these improvements in bandwidth, waveform diversity, and range ambiguity present an approach to achievement of simultaneous velocity and range estimations.
- Transform domain communication system coding presents the advantages given by pulse compression techniques with regards to bandwidth and the unambiguous range improvements often given by a lower pulse repetition frequency but at a higher pulse repetition frequency allowing better velocity estimation.
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Abstract
Description
R h=√{square root over (h2+2ha c)} (4)
TABLE 1 | ||||||
Uncoded | PN | TDCS | ||||
Extended | Extended | Extended | ||||
Radar Type | Uncoded | Range | PN | Range | TDCS | Range |
frequency (GHz) | 9 | 9 | 9 | 9 | 9 | 9 |
PRF (kHz) | 2 | 0.5 | 2 | 0.5 | 2 | 1 |
Ru (km) | 75 | 300 | 75 | 300 | 150 | 300 |
Max vr estimate (m/s) | 33.33 | 8.33 | 33.33 | 8.33 | 33.33 | 16.66 |
Bandwidth (kHz) | 20 | 20 | 620 | 620 | 620 | 620 |
Altitude (km) | 5 | 5 | 5 | 5 | 5 | 5 |
Rh (km) | 300 | 300 | 300 | 300 | 300 | 300 |
Simulation Parameters
χ(τ,ƒ)=|∫−∞ ∞ u(t−τ)u*(t)e j2πft dt| 2 (7)
- 1. D. M. Boronson, “Sample size considerations in adaptive arrays,” IEEE Transactions on Aerospace and Electronic Systems 16, No. 4, pp. 446-451, July 1980.
- 2. J. T. Caldwell and T. B. Hale, “Parametric adaptive matched filter applied to forward looking radar,” in 2004 SEE International Radar Conference, October 2004.
- 3. J. T. Caldwell and T. B. Hale, “Space-time adaptive processing for forward looking arrays,” in 2004 IEEE National Radar Conference, April 2004.
- 4. J. Ward, “Space-time adaptive processing for airborne radar,” Contract F19628-95-C-0002, Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, Mass., December 1994.
- 5. P. G. Richardson, “Space-time adaptive processing for manoeuvring airborne radar,” IEE Transactions on Electronics and Communication 11, No. 1, pp. 57-63, February 1999.
- 6. J. R. Roman, M. Rangaswamy, D. W. Davis, Q. Zhang, B. Himed, and J. H. Michels, “Parametric adaptive matched filter for airborne radar applications,” IEEE Transactions on Aerospace and
Electronic Systems 36, No. 2, pp. 677-692, April 2000. - 7. L. Brennan and F. Staudaher, “Subclutter visibility demonstration,” Technical Report RL-TR-92-21, Adaptive Sensors Incorporated, March 1992.
- 8. A. Jaffer, M. Baker, W. Ballance, and J. Staub, “Adaptive space-time processing techniques for airborne radars”, Contract F30602-89-D-0028, Hughes Aircraft Company, Fullerton, Calif. 92634, July 1991.
- 9. R. Klemm, Principles of Adaptive Space-Time Processing, IEE, London, 2002.
- 10. W. L. Melvin, “Nonhomogeneity detection for adaptive signal processing,” in Proceedings of the 1996 IASTED International Conference on Signal and Image Processing, November 1996.
- 11. J. S. Goldstein and I. S. Reed, “A tutorial on space-time adaptive processing,” in Proceedings of IEEE National Radar Conference, May 1997.
- 12. L. Brennan and I. Reed, “Theory of adaptive radar,” IEEE Transactions on Aerospace and Electronic Systems AES-9, No. 2, pp. 237-252, March 1973.
- 13. R. L. Peterson, R. E. Ziemer, and D. E. Borth, Introduction to Spread Spectrum Communications, Prentice-Hall, Inc., Englewood Cliffs, N.J. 07632, 1995.
- 14. M. I. Skolnik, Introduction to Radar Systems, Second Edition, McGraw-Hill, Inc., New York, 1980.
- 15. R. Peterson, R. Ziemer, and D. Borth, Introduction to Spread-Spectrum Communications, Prentice-Hall, Englewood Cliffs, N.J., 1995.
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